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Published in:
2022 | OriginalPaper | Chapter
Asymptotic Analysis of Buckling of Layered Rectangular Plates Accounting for Boundary Conditions and Edge Effects Induced by Shears
Authors : Gennadi Mikhasev, Rovshen Ataev
Published in: Recent Approaches in the Theory of Plates and Plate-Like Structures
Publisher: Springer International Publishing
Based on the equivalent single layer theory for laminated shells, buckling of layered rectangular plate under uniaxial compression with different variant of boundary conditions is studied. Equations in terms of the displacement, shear and stress functions, which take into account transverse shears inside the plate and near the edges with and without diaphragms, are used as the governing ones. Using the asymptotic approach, the buckling modes are constructed in the form of a superposition of the outer solution and the edge effect integrals induced by shears in the vicinity of the edges with or without diaphragms. Closed form relations for the critical buckling force accounting for shears are obtained for different variants of boundary conditions. It is detected that within one group of boundary conditions, the critical buckling forces can differ significantly depending on whether the edge is supplied with the diaphragm or not.